Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yang, Judy P. | en_US |
dc.contributor.author | Guan, Pai-Chen | en_US |
dc.contributor.author | Fan, Chia-Ming | en_US |
dc.date.accessioned | 2018-08-21T05:54:30Z | - |
dc.date.available | 2018-08-21T05:54:30Z | - |
dc.date.issued | 2017-07-01 | en_US |
dc.identifier.issn | 1758-8251 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1142/S175882511750065X | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/146035 | - |
dc.description.abstract | This work introduces the weighted collocation method with reproducing kernel approximation to solve the inverse Laplace equations. As the inverse problems in consideration are equipped with over-specified boundary conditions, the resulting equations yield an overdetermined system. Following our previous work, the weighted collocation method using a least-squares minimization has shown to solve the inverse Cauchy problems efficiently without using techniques such as iteration and regularization. In this work, we further consider solving the inverse problems of Laplace type and introduce the Shepard functions to deal with singularity. Numerical examples are provided to demonstrate the validity of the method. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Inverse Laplace equation | en_US |
dc.subject | singularity | en_US |
dc.subject | reproducing kernel approximation | en_US |
dc.subject | strong form | en_US |
dc.subject | collocation method | en_US |
dc.title | Solving Inverse Laplace Equation with Singularity by Weighted Reproducing Kernel Collocation Method | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1142/S175882511750065X | en_US |
dc.identifier.journal | INTERNATIONAL JOURNAL OF APPLIED MECHANICS | en_US |
dc.citation.volume | 9 | en_US |
dc.contributor.department | 土木工程學系 | zh_TW |
dc.contributor.department | Department of Civil Engineering | en_US |
dc.identifier.wosnumber | WOS:000409362000004 | en_US |
Appears in Collections: | Articles |